Chapter 4.2, Problem 4.31E

To determine

To identify which of the line fits the data better and justify your answer by computing the sum of the squares of the vertical distance of each point from the two lines.

Answer to Problem 4.31E

  $y=-x+1$ is the best fit.

Explanation of Solution

To identify which of the line fits the data better first we will plot the two lines as,

  

Since the sum of squares of the vertical distance for $y=-x+1$ is smallest, this is the best fit.

Justifying answer by computing the sum of the squares of the vertical distance of each point from the two lines by,